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irga5000 [103]
4 years ago
5

A particle is moving with the given data. find the position of the particle. v(t) = 1.5 t , s(9) = 32

Mathematics
1 answer:
timama [110]4 years ago
4 0
We have the following equation:
 v (t) = 1.5 t
 Rewriting we have:
 s' (t) = 1.5 t
 ds / dt = 1.5 t
 ds = (1.5 t) dt
 Integrating both sides we have:
 s = (1.5 / 2) t ^ 2 + s0
 Looking for the constant we have:
 32 = (1.5 / 2) * (9) ^ 2 + s0
 s0 = 32 - (1.5 / 2) * (9) ^ 2
 s0 = -28.75
 Then, the equation position is:
 s (t) = (1.5 / 2) t ^ 2 - 28.75
 Answer:
 
the position of the particle is:
 
s (t) = (1.5 / 2) t ^ 2 - 28.75
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3 years ago
How do u simplify 2(x+3) using distributive property
Serjik [45]

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2x + 6

Step-by-step explanation:

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3 years ago
2x + 3y = 15 and x - 3y = 3 What's the ordered pair
Ganezh [65]

Answer:

x = 6

y = 1

Step-by-step explanation:

to solve this system of equation we say let

2x + 3y = 15 .......................... equation 1

x - 3y = 3.................................. equation 2

from equation 2

x - 3y = 3.................................. equation 2

x = 3 + 3y.................................... equation3

substitute for x in equation 1

2x + 3y = 15 .......................... equation 1

2(3+3y) + 3y = 15

6 + 6y + 3y = 15

9y = 15 -6 ................................... combining the like terms

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divide both sides by the coefficient of y

9y/9 = 9/9

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x = 3 + 3y.................................... equation3

x = 3 + 3(1)

x = 3 +3

x = 6

therefore the value of  x is 6 and y is 1 respectively

4 0
3 years ago
Fruit-O-Rama sells dried pineapple for 0.25 per ounce.Mags spent a total of 2.65 on pineapple, how many ounces did she buy
Lesechka [4]
Divide 2.65 by 0.25
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8 0
4 years ago
The graph of y= x3 is transformed as shown in the graph below. Which equation represents the transformed function?
anygoal [31]

Answer:

the answer would be f: y=-x^3 -4

Elaboration:

You don't show if there's a 4th answer so I'm just assuming you have one, but if there is no option, then I apologize.

Explanation:

y = -x^3 flips the equation, since you are putting the coefficient of x to a negative

y = -x^3 - 4 lowers the equation by 4 on the y axis, setting the equation shown in the graph.

7 0
3 years ago
Read 2 more answers
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